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Finding the Fourth Proportional to 12,938, 19,409.34 and 8,559.08

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Solution

The fourth proportional to 12,938, 19,409.34 and 8,559.08 is: 12,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938 : 19,409.34 = 8,559.08 : x
  2. Step 2: Convert to fraction form
    12,938/19,409.34 = 8,559.08/x
  3. Step 3: Cross multiply
    12,938x = 19,409.34 × 8,559.08
  4. Step 4: Simplify right side
    12,938x = 166,126,093.81
  5. Step 5: Solve for x
    x = 166,126,093.81/12,938
  6. Step 6: Final answer
    x = 12,840.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.